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Finding the Fourth Proportional to 308.96, 464.28 and 164.78

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Solution

The fourth proportional to 308.96, 464.28 and 164.78 is: 247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.96 : 464.28 = 164.78 : x
  2. Step 2: Convert to fraction form
    308.96/464.28 = 164.78/x
  3. Step 3: Cross multiply
    308.96x = 464.28 × 164.78
  4. Step 4: Simplify right side
    308.96x = 76,504.06
  5. Step 5: Solve for x
    x = 76,504.06/308.96
  6. Step 6: Final answer
    x = 247.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.